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Pinball loss-based multi-task twin support vector machine and its safe acceleration method

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Abstract

Direct multi-task twin support vector machine (DMTSVM) performs well in handling multiple related tasks. But it is sensitive to noise points due to the use of hinge loss. In this paper, we propose a novel multi-task twin support vector machine with pinball loss (Pin-DMTSVM) to enhance the noise insensitivity of DMTSVM. Besides, in order to improve the computational speed of Pin-DMTSVM, we further construct a safe screening rule (SSR) for accelerating Pin-DMTSVM based on the optimality conditions. SSR could identify and pre assign most of the inactive instances before actually solving the optimization problem. So, the computational time will be reduced a lot by solving a smaller problem. More importantly, it can get an exactly same solution as solving the original larger optimization problem, so the classification accuracy will not be affected in theory. Numerical experiments on six benchmark datasets and seven image datasets have demonstrated the effectiveness and robustness of our proposed method.

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Notes

  1. http://people.ee.duke.edu/lcarin/LandmineData.zip.

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Acknowledgements

The authors gratefully acknowledge the helpful comments and suggestions of the reviewers, which have improved the presentation. This work was supported in part by the National Natural Science Foundation of China (Nos. 12071475, 11671010, 61153003) and Beijing Natural Science Foundation (No. 4172035).

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Authors and Affiliations

  1. College of Science, China Agricultural University, Beijing, 100083, China

    Fan Xie & Yitian Xu

  2. College of Information and Electrical Engineering, China Agricultural University, Beijing, 100083, China

    Xinying Pang

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  1. Fan Xie
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  3. Yitian Xu
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Correspondence to Yitian Xu.

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Xie, F., Pang, X. & Xu, Y. Pinball loss-based multi-task twin support vector machine and its safe acceleration method. Neural Comput & Applic 33, 15523–15539 (2021). https://doi.org/10.1007/s00521-021-06173-6

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  • DOI: https://doi.org/10.1007/s00521-021-06173-6

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